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Finding the Fourth Proportional to 21,621.94, 32,421.84 and 9,925

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Solution

The fourth proportional to 21,621.94, 32,421.84 and 9,925 is: 14,882.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,621.94 : 32,421.84 = 9,925 : x
  2. Step 2: Convert to fraction form
    21,621.94/32,421.84 = 9,925/x
  3. Step 3: Cross multiply
    21,621.94x = 32,421.84 × 9,925
  4. Step 4: Simplify right side
    21,621.94x = 321,786,762
  5. Step 5: Solve for x
    x = 321,786,762/21,621.94
  6. Step 6: Final answer
    x = 14,882.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.